Anatolii A. Korenovskii

eBook, PDF

Mean Oscillations and Equimeasurable Rearrangements of Functions (eBook, PDF)

Beschreibung

This volume considers various applications of equimeasurable function rearrangements to the "best constant"-type problems. It presents several classical theorems along with some very recent results. Coverage includes a product-space extension of the Rising Sun lemma, a product-space version of the John-Nirenberg inequality for bounded mean oscillation functions with sharp exponent, and sharp embedding theorems for Muckenhoupt, Gurov-Reshetnyak, and Gehring classes.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 2.98MB

Barrierefreiheit

• Text-to-Speech

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 189
• Erscheinungstermin: 12. September 2007
• Englisch
• ISBN-13: 9783540747093
• Artikelnr.: 37372183

Rezensionen

From the reviews:

"This book is devoted to classes (spaces) of functions that can be described in terms of mean oscillations. ... The sharp constants in the corresponding relations have been found in a number of works by the author of the book under review and his students; these works form the core of the present book. ... The book is well written. We mention that it contains many examples with full and very careful calculations. ... a good and convenient source for anyone interested in the area." (Andrei K. Lerner, Mathematical Reviews, Issue 2008 k)